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Deck 7: Extension C: Differential Equations
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Question
Use cylindrical shells to find the volume of the solid. A sphere of radius 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the Midpoint Rule with n = 4 to estimate the volume obtained by rotating about the region under the y-axis the region under the curve. 
Select the correct answer.The choices are rounded to the nearest hundredth.
A)
B)
C)
D)
E)
Select the correct answer.The choices are rounded to the nearest hundredth.A)
B)
C)
D)
E)
Question
Suppose you make napkin rings by drilling holes with different diameters through two wooden balls (which also have different diameters).You discover that both napkin rings have the same height h as shown in the figure.Use cylindrical shells to compute the volume of a napkin ring created by drilling a hole with radius d through the center of a sphere of radius D and express the answer in terms of 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the method of cylindrical shells to find the volume of solid obtained by rotating the region bounded by the given curves about the x-axis. 
Question
Use the method of cylindrical shells to find the volume of solid obtained by rotating the region bounded by the given curves about the x-axis. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Deck 7: Extension C: Differential Equations
1
Use cylindrical shells to find the volume of the solid. A sphere of radius
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
2
Use the Midpoint Rule with n = 4 to estimate the volume obtained by rotating about the region under the y-axis the region under the curve. Select the correct answer.The choices are rounded to the nearest hundredth.
A)
B)
C)
D)
E)
Select the correct answer.The choices are rounded to the nearest hundredth.A)
B)
C)
D)
E)
3
Suppose you make napkin rings by drilling holes with different diameters through two wooden balls (which also have different diameters).You discover that both napkin rings have the same height h as shown in the figure.Use cylindrical shells to compute the volume of a napkin ring created by drilling a hole with radius d through the center of a sphere of radius D and express the answer in terms of
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
4
Use the method of cylindrical shells to find the volume of solid obtained by rotating the region bounded by the given curves about the x-axis.
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5
Use the method of cylindrical shells to find the volume of solid obtained by rotating the region bounded by the given curves about the x-axis.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 5 flashcards in this deck.
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Unlock for access to all 5 flashcards in this deck.
